I have brief question about ring operations. My textbook poses the problem:
Verify that $\mathscr{F}$($\Bbb{R}$) (the set of all real functions) satisfies all of the axioms for being a commutative ring with unity. Indicate the zero and the unity, and describe the negative of any $\mathit{f}$.
Since the problem does not specify the operations on $\mathscr{F}$($\Bbb{R}$), should I assume that they are the traditional operations of addition and multiplication on functions?